Point charge configuration with zero potential energy

is it possible to construct a system with only finite number of point charges of arbitrary magnitude at finite distance from each other such that the total potential energy is zero everywhere?
i doubt earnshaw's theorem would prohibit this construction, hence is it possible?
thanks

thanks for the reply.
i think that integral only apply to continuous charge distributions? doesnt it predict the energy of a point charge is infinite.
on another note i think i got the answer, apparently it is possible to assemble point charges such that they have no mechanical energy